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Finding the Fourth Proportional to 642,709.40, 964,064.10 and 169,442.60

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Solution

The fourth proportional to 642,709.40, 964,064.10 and 169,442.60 is: 254,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,709.40 : 964,064.10 = 169,442.60 : x
  2. Step 2: Convert to fraction form
    642,709.40/964,064.10 = 169,442.60/x
  3. Step 3: Cross multiply
    642,709.40x = 964,064.10 × 169,442.60
  4. Step 4: Simplify right side
    642,709.40x = 163,353,527,670.66
  5. Step 5: Solve for x
    x = 163,353,527,670.66/642,709.40
  6. Step 6: Final answer
    x = 254,163.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.